Explanation The enthalpy ( h ) of this substance relative to a reference state is given by, h = ∫ T r e f T c P d T (I) Here, change in temperature is T , reference state temperature is T r e f , and specific heat capacity is c P . The entropy ( s ) of this substance relative to a reference state is given by, s 0 = ∫ T r e f T c P T d T (II) Write the expression for Gibb’s equation is follow: d u T = − R d V V (III) Here, change in internal energy is d u , gas constant is R , change in volume is d V , and volume is V . Conclusion: Substitute ∑ a i T i − n + a 0 e β T ( β T e β T -1 ) for c p 0 in Equation (1). h = ∫ T r e f T ( ∑ a i T i − n + a 0 e β T ( β T e β T -1 ) ) d T = [ ∑ a i i − n + 1 ( T i − n + 1 ) + a 0 E 1 ( e β T − β T ) ] T r e f T = ∑ a 1 i − n + 1 ( T i − n + 1 − T r e f i − n + 1 ) + a 0 [ e β T − e β T r e f − e E 1 ( 1 − β T ) − e E 1 ( 1 − β T r e f ) ] Here, a i , a 0 , n , and β are empirical constants. Thus, the enthalpy expression is developed as h = ∑ a 1 i − n + 1 ( T i − n + 1 − T r e f i − n + 1 ) + a 0 [ e β T − e β T r e f − e E 1 ( 1 − β T ) − e E 1 ( 1 − β T r e f ) ] . Substitute ∑ a i T i − n + a 0 e β T ( β T e β T -1 ) for c p 0 in Equation (2)

CONNECT FOR THERMODYNAMICS: AN ENGINEERI

9th Edition

ISBN: 9781260048636

Author: CENGEL

Publisher: MCG

See similar textbooks

Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

Videos

Question

Chapter 12.6, Problem 82RP

To determine

Develop the expressions for h, u, s°, Pr, and νr by using the relation cp0=∑aiTi−n+a0eβT(βTeβT-1)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.6, Problem 81P

Chapter 12.6, Problem 83RP

Students have asked these similar questions

Recall that the CWH equation involves two important assumptions. Let us investigate how these assumptions affect the accuracy of state trajectories under the control inputs optimized in (a) and (b). (c.1): Discuss the assumptions about the chief and deputy orbits that are necessary for deriving CWH.

PROBLEM 2.50 1.8 m The concrete post (E-25 GPa and a = 9.9 x 10°/°C) is reinforced with six steel bars, each of 22-mm diameter (E, = 200 GPa and a, = 11.7 x 10°/°C). Determine the normal stresses induced in the steel and in the concrete by a temperature rise of 35°C. 6c " 0.391 MPa 240 mm 240 mm 6₁ = -9.47 MPa

For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to a(t) = a(0) exp(-4) (15.10) where σ(t) and o(0) represent the time-dependent and initial (i.e., time = 0) stresses, respectively, and t and T denote elapsed time and the relaxation time, respectively; T is a time-independent constant characteristic of the material. A specimen of a viscoelastic polymer whose stress relaxation obeys Equation 15.10 was suddenly pulled in tension to a measured strain of 0.5; the stress necessary to maintain this constant strain was measured as a function of time. Determine E (10) for this material if the initial stress level was 3.5 MPa (500 psi), which dropped to 0.5 MPa (70 psi) after 30 s.

Chapter 12 Solutions

CONNECT FOR THERMODYNAMICS: AN ENGINEERI

Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider the function z(x, y). Plot a differential...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 4P Ch. 12.6 - Prob. 5P Ch. 12.6 - Consider a function f(x) and its derivative df/dx....Ch. 12.6 - Conside the function z(x, y), its partial...Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Develop the expressions for h , u , s ° , P r , and ν r by using the relation c p 0 = ∑ a i T i − n + a 0 e β T ( β T e β T -1 )

Solution Summary: The author develops the expressions for h, U and S° by using the relation c_p0.

Concept explainers

Videos

Develop the expressions for h, u, s°, Pr, and νr by using the relation cp0=∑aiTi−n+a0eβT(βTeβT-1)

Want to see the full answer?

Chapter 12 Solutions